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20216880 = 2432543653
BaseRepresentation
bin100110100011…
…1110000110000
31102001010100100
41031013300300
520133420010
62001152400
7333561225
oct115076060
942033310
1020216880
1110459272
12692b700
13425b068
14298394c
151b952c0
hex1347c30

20216880 has 120 divisors (see below), whose sum is σ = 69580368. Its totient is φ = 5257728.

The previous prime is 20216869. The next prime is 20216921. The reversal of 20216880 is 8861202.

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30634 + ... + 31286.

Almost surely, 220216880 is an apocalyptic number.

20216880 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20216880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34790184).

20216880 is an abundant number, since it is smaller than the sum of its proper divisors (49363488).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

20216880 is a wasteful number, since it uses less digits than its factorization.

20216880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 715 (or 706 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 20216880 is about 4496.3184940571. The cubic root of 20216880 is about 272.4194077525.

The spelling of 20216880 in words is "twenty million, two hundred sixteen thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 43 45 48 60 72 80 86 90 120 129 144 172 180 215 240 258 344 360 387 430 516 645 653 688 720 774 860 1032 1290 1306 1548 1720 1935 1959 2064 2580 2612 3096 3265 3440 3870 3918 5160 5224 5877 6192 6530 7740 7836 9795 10320 10448 11754 13060 15480 15672 19590 23508 26120 28079 29385 30960 31344 39180 47016 52240 56158 58770 78360 84237 94032 112316 117540 140395 156720 168474 224632 235080 252711 280790 336948 421185 449264 470160 505422 561580 673896 842370 1010844 1123160 1263555 1347792 1684740 2021688 2246320 2527110 3369480 4043376 5054220 6738960 10108440 20216880